document.write( "Question 905655: Manuela has a total of 40 dvds of movies and tv shows. The number of movies is 4 less than 3 times the number of tv shows. Write and solve a system of equations to find the numbers of movies and tv show that she has on dvd. \n" ); document.write( "
Algebra.Com's Answer #549361 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let M = movies; let T = TV shows \n" ); document.write( "M + T = 40 (Manuela has a total of 40 dvds of movies and tv shows.) \n" ); document.write( "M = 3T - 4 (4 less than 3 times the number of tv shows.) \n" ); document.write( "Take the known value of M from the bottom equation and put it into the top. \n" ); document.write( "M + T = 40 \n" ); document.write( "(3T-4) + T = 40 \n" ); document.write( "4T - 4 =40 \n" ); document.write( "Add 4 to each side \n" ); document.write( "4T = 44 \n" ); document.write( "Divide each side by 4 \n" ); document.write( "T = 11 \n" ); document.write( "If there are 11 TV shows, and 40 in total, then there are 29 movies \n" ); document.write( "29 = 3(11) - 4 \n" ); document.write( "29 = 29 \n" ); document.write( " |